4 research outputs found
Test of Transitivity in Quantum Field theory using Rindler spacetime
We consider a massless scalar field in Minkowski spacetime in its
vacuum state, and consider two Rindler wedges and in this space.
is shifted to the right of by a distance . We therefore
have with the symbol implying a
quantum subsystem. We find the reduced state in using two independent
ways: a) by evaluation of the reduced state from vacuum state in
which yields a thermal density matrix, b) by first evaluating the reduced state
in from yielding a thermal state in , and subsequently
evaluate the reduced state in in that order of sequence. In this article
we attempt to address the question whether both these independent ways yield
the same reduced state in . To that end, we devise a method which involves
cleaving the Rindler wedge into two domains such that they form a
thermofield double. One of the domains aligns itself along the wedge
while the other is a diamond shaped construction between the boundaries of
and . We conclude that both these independent methods yield two
different answers, and discuss the possible implications of our result in the
context of quantum states outside a non-extremal black hole formed by
collapsing matter.Comment: 6 pages, 3 figure